What is the Least Common Multiple of 73330 and 73344?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73330 and 73344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73330 and 73344, than apply into the LCM equation.

GCF(73330,73344) = 2
LCM(73330,73344) = ( 73330 × 73344) / 2
LCM(73330,73344) = 5378315520 / 2
LCM(73330,73344) = 2689157760

Least Common Multiple (LCM) of 73330 and 73344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73330 and 73344. First we will calculate the prime factors of 73330 and 73344.

Prime Factorization of 73330

Prime Factorization of 73344

Now multiplying the highest exponent prime factors to calculate the LCM of 73330 and 73344.

LCM(73330,73344) = 2⁷ × 5¹ × 7333¹ × 3¹ × 191¹
LCM(73330,73344) = 2689157760